A chair will be reserved for Lou Trivino at the end of the A’s bullpen. There’s just no chance the A’s hard-throwing backend reliever will be up from that chair during Wednesday’s series finale against the Texas Rangers.

Trivino is still recovering from an injury on his pitching hand incurred when a ball, lost in the sun’s glare, fell and hit the top of his thumb. Trivino is wearing a protective covering, but manager Bob Melvin doesn’t anticipate a trip to the injured list.

“If we felt like it would be 10 days he would be on DL right now,” Melvin said before Wednesday’s game. “It makes an already taxed bullpen going into today’s game a little bit rough.”

Trivino’s day-to-day injury not only has the A’s without a backend bullpen linchpin — he’s struck out 16 and allowed two earned runs over 12.2 innings so far this season — but throws a bit more work onto an already belabored pitching staff.

The bullpen totaled 16 innings of work against Toronto, and has added seven against the Rangers to up the squad’s innings-pitched total this year to 101⅓, third-most in the league. The off-day Thursday allows this holding pattern with Trivino some breathing room.

“We’ll hold out hope as long as we can,” Melvin said.

* Melvin confirmed reports that Jesus Luzardo — who was shut down back in March with a left shoulder strain — will throw from 90 feet Wednesday.

Melvin then took that inch of good news for the club’s top pitching prospect and added a mile.

“I would be very surprised, if he stays healthy, if we don’t see him at some point this year,” he said. “That’s one thing our organization has been good at since I’ve been here is making the team better along the way.

“So when you have an arm like that, that you know at some point can be here. We saw what he had to offer in spring training so we’re all excited.”